Answer:
[tex] {9}^{ - \frac{1}{2} }[/tex]
Step-by-step explanation:
Given,
[tex] \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{ {9}^{5} } } [/tex]
[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9 \times 9 \times 9 \times 9 \times 9} } [/tex]
[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{9 \sqrt[4]{9} } [/tex]
[tex] = \frac{ \sqrt{9} }{9} [/tex]
[tex] = \frac{ {9}^{ \frac{1}{2} } }{ {9}^{1} } [/tex]
[tex] = {9}^{ \frac{1}{2} - 1} [/tex]
[tex] = {9}^{ - \frac{1}{2} } (ans)[/tex]
